Orlicz Spaces and Generalized Orlicz Spaces: Lecture Notes in Mathematics, cartea 2236
Autor Petteri Harjulehto, Peter Hästöen Limba Engleză Paperback – 8 mai 2019
Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
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Specificații
ISBN-13: 9783030150990
ISBN-10: 3030150992
Pagini: 180
Ilustrații: X, 169 p. 9 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.45 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3030150992
Pagini: 180
Ilustrații: X, 169 p. 9 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.45 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
- Introduction.- Φ-Functions. - Generalized Orlicz Spaces. - Maximal and Averaging Operators. - Extrapolation and Interpolation. - Sobolev Spaces. - Special Cases.
Textul de pe ultima copertă
This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré inequalities in norm and modular forms.
Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.
Caracteristici
The first book on harmonic analysis in generalized Orlicz spaces Considers the most general class of F-functions, giving a systematic presentation of the use of equivalent F-functions to simplify proofs Includes non-doubling versions of most results and also more general results for the case of (non-generalized) Orlicz spaces Includes as special cases variable exponent and double phase growth